1.

If a and b are two prime numbers, then find LCM (a,b).

Answer»

Given a and b are prime numbers. 

Therefore, HCF (a, b) = 1. 

We know that for any two positive integers a and b, HCF (a, b) × LCM (a, b) = a × b. 

Therefore, LCM (a, b) = \(\frac{ab}{HCF (ab)}\) =\(\frac{ab}{1} = ab.\)

Hence, if a and b are prime numbers then LCM (a, b) = ab.



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